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Simplifying 7(x + -1) + 2(5 + -6x) = -12 Reorder the terms: 7(-1 + x) + 2(5 + -6x) = -12 (-1 * 7 + x * 7) + 2(5 + -6x) = -12 (-7 + 7x) + 2(5 + -6x) = -12 -7 + 7x + (5 * 2 + -6x * 2) = -12 -7 + 7x + (10 + -12x) = -12 Reorder the terms: -7 + 10 + 7x + -12x = -12 Combine like terms: -7 + 10 = 3 3 + 7x + -12x = -12 Combine like terms: 7x + -12x = -5x 3 + -5x = -12 Solving 3 + -5x = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5x = -12 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = -12 + -3 -5x = -12 + -3 Combine like terms: -12 + -3 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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